Solution :
It is given that Z is the incenter
So, we get from the figure
[tex]$5x +1= 8x -14$[/tex]
⇒ [tex]$-3x = -15$[/tex]
⇒ x = 5
So, [tex]$5x+1 = 26 ^\circ \text{ and}\ 8x-14 = 26^\circ$[/tex]
We have to find ∠ ZTU.
In Δ UTV,
∠ TUV + ∠ UTV + ∠ TVU = 180°
⇒ (2 x 21°) + ∠ UTV + (2 x 26°) = 180°
⇒ ∠ UTV = 180° - 52° - 42°
= 86°
So, [tex]$\angle ZTV = \frac{1}{2} \ \angle UTV$[/tex]
[tex]$ = \frac{1}{2} \times 86^\circ$[/tex]
[tex]$=43^\circ$[/tex]
Therefore, m ∠ ZTU = 43°
Find the square root. 1/16
Answer:
The square root of 1/16 is 1/4=0.25
Step-by-step explanation:
The square root of 1/16 is 1/4.
To find the square root of 1/16, you can take the square root of the numerator and the denominator separately.
√(1/16) = √1 / √16
Since the square root of 1 is 1, and the square root of 16 is 4:
√(1/16) = 1/4
So, the square root of 1/16 is 1/4.
To know more about square root, refer here:
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cómo resuelvo estás ecuaciones
6×-5y=-3
3×+2y=12
Answer:
Y vale 3 x vale 2 ponme
Step-by-step explanation:
Other equipment totaled 33000. You earn a commission of 20% on every sale you make. If you put 35% of your earnings on this particular sale into a savings account what is the amount invested
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Answer:
2310
Step-by-step explanation:
Assuming "this particular sale" totals 33000 in its entirety, the commission is ...
20% × 33000 = 6600
The amount of that going to the savings account is ...
35% × 6600 = 2310
The amount invested is 2310.
help please I really need it
Answer:
If x is 6, y is 9
Step-by-step explanation:
In your equation, substitute 6 in for each x. This would be (6) + 3y = 4(6) + y.
This ends up being 6 + 3y = 24 + y.
After that, you can subtract y from both sides to get 6 + 2y = 24.
Then you can subtract 6 from both sides to get 2y = 18.
Finally, divide both sides by 2 to get y = 9.
Rectangle ABCD is similar to Rectangle JKLM.
What is the ratio (ABCD to JKLM) of the corresponding side lengths?
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Answer:
2 to 3
Step-by-step explanation:
The ratio of side lengths is the square root of the ratio of areas:
32 to 72 = 4 to 9 . . . . simplified ratio of areas
Then the ratio of side lengths is ...
√4 to √9 = 2 to 3
A rectangular path 60m and 3m is covered with square tiles of 25 cm. How many tiles wil be used to cover the path ?
Answer:
2880 tiles
Step-by-step explanation:
A rectangular path has dimensions 60 m and 3 m.
Area of a rectangular path = length × breadth = 60 × 3 = 180 [tex]m^2[/tex]
Use [tex]1\,m^2=10000\,cm^2[/tex]
So,
Area of a rectangular path = 180(10000) = 18,00,000 [tex]cm^2[/tex]
Side of a square tile = 25 cm
Area of a square tile = side × side = 25(25) = 625 [tex]cm^2[/tex]
Number of square tiles = Area of a rectangular path ÷ Area of a square tile
= [tex]\frac{1800000}{625} =2880[/tex] tiles
Una calidad de queso vale los 2/5 de $30.000; una segunda calidad vale 1/3 de $24.000 y una tercera calidad vale el doble de un tercio de $15.000. ¿Cuánto valen juntas las tres calidades de queso?
Answer:
2/5+1/3=6/15+5/15=11/15
30.000+24.000+15.000 =69.000
A ring-shaped region is shown below. Its inner radius is 8m, and its outer radius is 11m. 8m 11m Find the area of the shaded region. Use 3.14 for π. Do not round your answer.
Answer:
329.91 cm^2
Step-by-step explanation:
A ring-shaped region is shown below. Its inner radius is 8m, and its outer radius is 11m. 8m 11m Find the area of the shaded region. Use 3.14 for π. Do not round your answer.
Your answer
Given data
inner radius= 8cm
area= πr^2
area= 3.142*8^2
area= 3.142*16
area= 50.272 cm^2
outer radius= 11cm
area= πr^2
area= 3.142*11^2
area= 3.142*121
area= 380.182 cm^2
Hence the area of the shaded part is
=380.182-50.272
=329.91 cm^2
The sales tax in one state is 5%. Write a function rule for finding the total cost of an item with selling price x. Then find the total cost of CD player with a selling price of $110
Answer:
Total Cost = 1.05x
CD Player cost = 110*1.05 = $115.50
Step-by-step explanation:
through (2,3); slope = -2
Answer:
y=-2x+7
Step-by-step explanation:
See image
HELP I NEED HELP ASAP
Answer:
C) Linear
Step-by-step explanation:
To find this, I turned the situation into an expression. The expression representing this would be: 2x + 5 (a linear function). The 2x represents how much his dad gives Joseph weekly. The 5 represents how much Joseph already has.
Hope it helps!
what does -2x + 9 look like on a graph?
Answer:
The line of the graph will be going down 2/1 and will pass through the y intercept at 9.
Step-by-step explanation:
Hope this helps a little.
Answer:
this
Step-by-step explanation:
use desmos if u need more help
Suppose that the function f(x)=3x+10 represents the cost to rent a movie for a month. Kim has $15. How many more dollars does she need to rent 8 movies?
Answer:
$19
Step-by-step explanation:
Given data
Cost of movie
f(x)=3x+10
Hence the cost of 8 movies is
f(x)=3(8)+10
f(x)=24+10
f(x)=$34
Hence the cost of 8 movies is $34, Kim needs extra
=34-15
=$19
What is the measure of arc FG?
PLEASE HELP , i’ll make BRAINLIEST
help, look at picure
Answer:
x=3
Step-by-step explanation:
61/4=15 1/4
5(3)=15+(1/4)=15 1/4
pls help ty !
question is in the pic
Answer:
He is not correct
There are four hundred twenty-three people attending luncheon. If a table can hold 6 people, how many tables do they need?
Answer:
the answer is 71
Step-by-step explanation:
423/6
42÷6=7
42-42=0
6÷3=×
30÷6=5
70.5--> 71
Find the slope of the line passing through the points (-7, 4) & (-7, -8)
Answer:
Undefined
Step-by-step explanation:
The equation for finding the slope is:
y2 - y1
------------
x2 - x1
--------------------------------------------------------------------------------------------------------
4 - (-8)
----------
-7 - (-7)
-----------------------------------------------------------------------------------------------------------
4 + 8
--------
-7 +7
---------------------------------------------------------------------------------------------------------
12
----
0
---------------------------------------------------------------------------------------------------------
The slope is Undefined, so there is no answer
"An airplane ends up 540 miles and 20 degrees north of east from its departure point. If there was a steady wind of 30 mph from the northwest during the entire flight, then find the magnitude and direction that the plane would have gone if there had been no wind".
Answer:
vr = [tex]540[/tex]
vp = 486.22 j + 205.9 j
Theta [tex]= 22.95[/tex]
Step-by-step explanation:
The resultant velocity vr = vp + vw
vp = vector velocity of plane and
vw = vector velocity of wind
vr = vector resultant velocity
in one hour the plane travels 540 miles and hence the speed is 540 mph
Hence vr = [tex]540[/tex]
vp = 486.22 j + 205.9 j
Theta
[tex]= tan^{-1}\frac{205.9}{486.22} \\= 22.95[/tex]
Which of the following expressions are equivalent to 4 + 36x
Please answer and dont take my points bc i am in a hurry
A
4(1) + 4(36x)
B
4(1 + 36x)
C
2(1) + 4(9x) + 4
D
4(1 + 9x)
Answer:
The answer would be D.
Answer:
The answer is D 4(1 + 9x) or C depending on what school website you use.
Step-by-step explanation:
If the mean of 5 numbers is 10 and the mean of other 15 numbers is 20 , what is the combined mean of both 20 numbers
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Answer:
17.5
Step-by-step explanation:
The sum of the 5 numbers is 5·10 = 50.
The sum of the 15 numbers is 15·20 = 300.
The sum of all 20 numbers is then 50+300 = 350, so their mean is ...
mean = sum/number = 350/20 = 17.5
The combined mean of the 20 numbers is 17.5.
Photos fast charges a fee of $2.50 plus $0.05 for each picture developed. Photos quick charges a fee of $3.70 plus $0.03 for each picture developed. for how many will the total cost be the same at each shop?
The total cost will cost be the same at each shop for 60 pictures.
What is word problem?Word problems are often described verbally as instances where a problem exists and one or more questions are posed, the solutions to which can be found by applying mathematical operations to the numerical information provided in the problem statement.
Let for x number of picture, the total cost will cost be the same at each shop.
Total cost of x number of picture on Photos fast shop = $ (2.50 + 0.05x)
Total cost of x number of picture on Photos quick shop = $ (3.70 + 0.03x)
according to the question:
(2.50 + 0.05x) = (3.70 + 0.03x)
0.05x - 0.03x = 3.70 - 2.50
0.02x = 1.20
x = 1.20 ÷ 0.02
x = 60
Hence, for 60 number of picture, the total cost will cost be the same at each shop.
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what's [2+(2x3)]x5.
a circle with a circumference of 40.82 centimeters what is the area of the circle is 3.14 for pi
You need two formulas for this:
C = πd or C = 2πr ( d = 2r ) Where C is circumference and d is diameter, r is radius
A = πr² Where A is area, and r is radius
First you get the diameter and radius by substituting the value of pi and circumference. With that, you can calculate the Area of the circle with the second formula. square² the radius then multiply it to 3.14. Remember that radius is half of diameter.
Answer:
[tex]\boxed {\boxed {\sf a=132.665 \ cm^2}}[/tex]
Step-by-step explanation:
1. Find the Radius
We are given the circumference of 40.82 centimeters. The formula for circumference is
[tex]c=\pi d[/tex]
The diameter is twice the radius, so we can also write this formula as:
[tex]c= \pi 2r[/tex]
Substitute 40.82 for the circumference and use 3.14 for pi.
[tex]40.82 \ cm= (3.14) 2r[/tex]
[tex]40.82=6.28 r[/tex]
6.82 and r are being multiplied. The inverse of multiplication is division. Divide both sides by 6.82
[tex]\frac{40.82 \ cm}{6.28}=\frac{6.28 r}{6.82}[/tex]
[tex]6.5 \ cm=r[/tex]
2. Calculate the Area
Now we can calculate the area using this formula:
[tex]a= \pi r^2[/tex]
The radius is 6.5 centimeters and we are using 3.14 for pi.
[tex]a= 3.14(6.5 \ cm)^2[/tex]
Solve the exponent.
(6.5 cm)²= 6.5 cm * 6.5 cm=42.45 cm²[tex]a= 3.14 (42.45 \ cm^2)[/tex]
Multiply.
[tex]a=132.665 \ cm^2[/tex]
The area is 132.665 square centimeters.
Complete the sentence.
Answer:
50 more
Step-by-step explanation:
Answer:
50 more than............
Somebody plss (kinda easy tho)
Answer:
74 pesos
Step-by-step explanation:
Let us assume the one peso coins be x
so, number of five peso would be x + 4
And, the total coins is 22
Now the equation is
x + x + 4 = 22
2x + 4 = 22
2x = 22 - 4
2x = 18
x = 9
Five peso coins is 9 + 4 = 13
Now
= 9(1) + 13(5)
= 9 + 65
= 74 pesos
BRAINLIEST TO WHOEVER ANSWERS FIRST!
A painter is placing a ladder to reach the third story window, which is 39 feet above the ground and
makes an angle with the ground of 80°.
How far out from the building does the base of the ladder need to be positioned? Round your answer to
the nearest tenth.
The base of the ladder needs to be positioned
feet out from the building.
Answer:
I believe it has to be placed about 8 feet from the base
Step-by-step explanation:
sorry if wrong
Tan(x) *cos(x)*cos(x)= ( the answer should have sin only ) ASAP
This doesn't make any sense because you didn't give a value to cos like you did to sin.
Let me guess the actual question is tan(x)*cos(x) write this in term of sin.
Now from trigonometry identities, we know that tan(x)=sin(x)/cos(x)
So the expression can be written as sin(x)/cos(x)*cos(x)
which results in sin(x) as the answer, if I guessed the question wrong, sorry and please tell me in the comments what the correct question is, because this question doesn't seem complete :)
A hexagonal prism has.............vertices.
Step-by-step explanation:
A hexagonal prism has 12 vertices.
Hope this answer will help you.
Have a great time
Kevin can travel 24 1 4miles in 1 3hour. What is his average speed in miles per hour?
Answer:
The answer is about 331 miles.
Step-by-step explanation:
I took the test and the answer is correct <3!
Answer:
deeznuts
Step-by-step explanation:
ha got tem